[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]
This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.
Answer:
The Answer Is 240in^3
Step-by-step explanation:
I Took The Test And Got It Right.
The Volume of the fish tank is 240 in³.
The correct option is (D).
What is the volume of plane shapes?The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.
Given:
The figure can be differentiated into two shapes;
A rectangleA triangleThe volume of the rectangle is known as:
= Length × Breadth
= 7 inches × 5 inches
= 35 inches²
The volume of the triangle is:
= 1/2 × base × height
= 1/2 × 2 × 5
= 5 inches²
The total volume of the base of the fish tank now is:
= 35 inches² + 5 inches²
= 40 inches²
Now, the volume of the fish tank is:
= Height × base of the fish tank
= 6 inches × 40 inches²
= 240 in³
Learn more about the volume of plane shapes here:
brainly.com/question/20475473
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Express the ratio below in its simplest form
2.5 : 3.5
Answer:
5 : 7
Step-by-step explanation:
Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7
Answer:
5:7
Step-by-step explanation:
The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7
Devaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?
Answer:
37 and 43
Step-by-step explanation:
There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.
Please help me con la resolución porfa
Answer:
2,591 esta bien la respuesta
Use the diagram below to answer the
following questions.
2x - 1
x + 7
B
X-4
What is the value of x?
X =
=
What is the perimeter of triangle ABC?
The perimeter is
units.
Answer:
34
Step-by-step explanation:
Since this an isosceles triangle we can say the length of AB = AC
2x - 1 = x + 7
2x - x = 7 + 1
x = 8
The perimeter is calculated by adding all side lengths
2x - 1 + x + 7 + x - 4 = Area add like terms
4x + 2 = Area replace x with the value we found
4*8+2 = 34 units square
Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)
Step-by-step explanation:
the formula for the mid point is:
{(x1 + x2)/2 , (y1 + y2)/2}
so using the formula we get:
(15, 5)
also are you sure that the question wants the midpoint? since the answer is not included in the choices
Answer:
C(15,3)
Step-by-step explanation:
Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]
= [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]
= 15,5 (which is closest to C, i think there is a mistake in the question as there is only one formula to find midpoint so y coordinate has to be 5)
solve major part of my grade <33
0 3 6 9 12 15 18
(each tick mark = +3)
Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....
The maximum weight for the elevator is 599 pounds. Write an inequality that shows the weight.w. it can hold.
Answer:
599>w
Step-by-step explanation:
Since the max was 599 we need to show that the weight or w has to be less than 599
Answer:
599 ≥ w
Step-by-step explanation:
The other person is wrong
It can hold 599 pounds, and anything less than that, so we use this symbol
Can someone please help
Ahhh, the graph! Such an interesting thing. I think I can help you...
The answer is B - (3, -4).
My explanation is this.
In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)
If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.
But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.
Therefore the answer (3, -4)
I hope this answers your question.
-Toremi
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Answer:
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Step-by-step explanation:
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer:
16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.
Therefore 48 * 4 = 192 servings.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,
As we know,16 cups are in a gallon,
1 gallons = 16 cups
3 gallons = 3 × 16 cups
3 gallons = 48 cups
If 1 cup of milk works for 4 servings,
The number of servings that can be made from three gallons will be,
=48 × 4
= 192 servings.
Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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solve using completing the square method
Answer:
x=3.48 or -1.98
Step-by-step explanation:
2x^2-3x-8=0
x^2-1.5x-4=0
(x-0.75)^2=0
x^2-1.5x-0.5625=0
(x-0.75)^2-7.4375=0
(x-0.75)=√(7.4375)
x=0.75±√(7.4375)
x=3.48 or -1.98
the volume inside a rectangular storage room is 2,025 cubic feet. the room is 9 feet high. find the the area of the floor.
Answer:
(Sorry if this answer is not correct, if it is or is not, please tell me in the comments!)
232.777778 feet squared (feel free to round the answer)
Step-by-step explanation:
The formula on how to find the volume is:
(the area of the floor) x (the height of the room) = 2025 cubic feet
We already know the height, so we need to plug it in.
(the area of the floor) x 9 feet = 2095 cubic feet
To get the area of the floor, we need to divide 2095 by 9.
So, the area of the floor is exactly 232.777778 feet squared.
Answer:
225 ft²
Step-by-step explanation:
Formula
Volume = Base Area x HeightVolume = 2,025 ft³Height = 9 ftSolving :
Base Area = Volume / HeightBase Area = 2,025 / 9Base Area = 225 ft²Gloria is an artist. She sets a goal to paint 2 pieces every month. She has already painted 5 pieces. The number of pieces that Gloria will paint will depend on how many months for which she paints. Which statements describe the total number of pieces "p" Gloria will have painted after "t" months, if she meets her goal? Select all the statements that are true.
Answer:
O The independent variable is T and P is the dependent variable
O The P increases by 2 as T increases by 1
Mrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.
Which students have correct responses to Mrs. Mueller's inequality?
Select ALL that apply.
Answer:
Maya, Pablo
Step-by-step explanation:
We solve the inequality to find how big x must be to fit the inequality.
[tex]\frac{3}{5}x > 6\\ x > 10[/tex]
Since x has to be greater than 10, anyone with an answer above that is correct.
Maya and Pablo are the only two.
use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0
Answer:
One solution
Step-by-step explanation:
Discriminant
[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]
[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]
[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]
Given equation:
[tex]-8x^2-8x-2=0[/tex]
Swap sides:
[tex]\implies 8x^2+8x+2=0[/tex]
Using discriminant:
[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]
Therefore, there is one solution
--------------------------------------------------------------------------------------------
Proof
[tex]8x^2+8x+2=0[/tex]
Divide both sides by 2:
[tex]\implies 4x^2+4x+1=0[/tex]
Separate the middle term:
[tex]\implies 4x^2+2x+2x+1=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (2x+1)(2x+1)=0[/tex]
Therefore:
[tex]\implies 2x+1=0[/tex]
[tex]\implies x=-\dfrac12[/tex]
Thus proving there is one solution.
Here
a=-8b=-8c=-2Discriminate
D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0Roots are equal hence one solution
A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages
Answer:
teacher's age: 30
student's age: 15
Step-by-step explanation:
T = 15 + S
from above,
(T+15)/(s+15) = 3/2
by substitution,
(15+S +15)/(S+15) = 3/2
cross multiply,
2(S+30) = 3(S+15)
2S + 60 = 3S + 45
60 = S + 45
s = 15
T = 30
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]
Arc length
L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6unitsMarco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?
Answer:
3 1/4 pounds
Step-by-step explanation:
Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.
He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375
Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.
Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.
If sally had 5 apples and Sam took 3 how many apples are left
Answer:
2 apples are left
Step-by-step explanation:
Question
Find the surface area of the cube.
The surface area is
square yards.
Answer:
81 square yards
Step-by-step explanation:
width- 9 ft
length- 9ft
width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.
Hope this helps.
BTW it's my birthday
The diameter of a semicircle is 30 miles. What is the semicircles radius ?
Answer:
D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle
No trolls or links or i will report
Answer:
92.4 ft²Step-by-step explanation:
Total surface area comprises one rectangular base and two pairs of diferent triangles.
Area of rectangle
A = lwArea of triangle
A = 1/2bhSubstitute and find
A = 7*4 + 2(1/2*4*6.3) + 2(1/2*7*5.6) = 92.4 ft²Area of base rectangle
7(4)28ft²Area of rest triangles
2(1/2BH)+2(1/2bh)BH+bh4(6.3)+7(5.6)64.56ft²Now
TSA
64.56+2892.56ft²Please help with the proportions word problem!!
Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.
Answer:
30%
Step-by-step explanation:
the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80
6th grader here sorry if wrong
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Answer:
A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?
algebra elimination- 13x+8y=-2 and 2x+y=-1
Answer:
x=-6/29
y=-17/29
Step-by-step explanation:
we have the system of equations
-13x+8y=-2 ------> equation 1
2x+y=-1 ------> equation 2
Solve by elimination
step 1
Multiply equation 2 by -8 on both sides
-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3
step 2
Adds equation 1 and equation 3
-13x+8y=-2
-16x-8y=8
-----------------
-29x=6
x=-6/29
Find out the value of y
substitute the value of x in any equation
2x+y=-1
2(-6/29)+y=-1
-12/29+y=-1
y=-1+(12/29)
y=-17/29
therefore
The answer is
x=-6/29
y=-17/29
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A is (arithmetic sequence)
and D is 1 2 3 4 5 6 7
Unfortunately, I only know the answer to those two.
Sorry.
I can't figure out the range please help
Answer:
5
Step-by-step explanation:
range is biggest number minus smallest number.
First arrange the numbers from least to greatest.
4, 4, 5, 6, 8, 9, 9
Subtract the biggest number, 9, from the smallest number, 4.
9 - 4 = 5
Answer:
5
Step-by-step explanation:
The range is the highest value number minus the lowest value number. 9 minus 4 is 5.
Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is
Answer:
12 cmStep-by-step explanation:
Let O be the centre of the circle of radii 10 cm and 8 cm.
In given figure,
AP = PB and OP⊥AB
Applying Pythagoras theorem in ∆OPA, we get
↠ OA² = OP² + AP²
↠ (10)² = (8)² + AP²
↠ 100 = 64 + AP²
↠ 100 - 64 = AP²
↠ 36 = AP²
↠ √36 = AP
↠ 6 = AP
Now,
↠ AB = 2AP
↠ AB = 2(6)
↠ AB = 12 cm
Hence,
The length of the chord of the larger circle 12 cm